Is 1/25 and 25 the same?

The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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Answer: The price of the apartment lies in the range of $1300 to $1800

Step-by-step explanation: Because Carlos doesn't exactly know how much  he'll make at his new job but he knows the range will be between 3000$ and 4000$ we will use inequality to solve this problem.

Let the rent on the new apartment = r

let monthly pay of Carlos = x

Given, apartment related fees = 200$

Given he is willing to use half of his monthly pay for rent and apartment related fees combined.

∴rent + apartment related fees = Monthly pay / 2

⇒\(r + 200 = \frac{x}{2}\)

⇒\(x=2*(r+200)\)

⇒\(x=2r+400\)                                                (1)

Given Carlos' monthly pay is in the range of $3000 to $4000

∴\(3000\leq x\leq 4000\)

⇒\(3000\leq (2r+400)\leq 4000\)                             (from equation (1))

⇒\(3000-400\leq 2r+400-400\leq 4000-400\)     (subtracting 400)

⇒\(2600\leq 2r\leq 3600\)

⇒\(\frac{2600}{2}\leq \frac{2r}{2}\leq \frac{3600}{2}\)                                           (dividing by 2)

⇒\(1300\leq r\leq 1800\)                                           (2)

ANS: The apartment lies in the price range of $1300 to $1800 as given by equation (2)

here is a problem solved using inequality

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4x + 5x + 6x = 75

15x = 75

x = 5 cm

4x = 4*5 = 20 cm

5x = 5*5 = 25 cm

6x = 6*5 = 30 cm

Answer: 20 cm, 25 cm, 30 cm.

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio , 4 + 5 + 6 = 15 parts

divide perimeter by 15 to find the value of one part of the ratio.

75 cm ÷ 15 = 5 cm , then

4 parts = 4 × 5 cm = 20 cm

5 parts = 5 × 5 cm = 25 cm

6 parts = 6 × 5 cm = 30 cm

The sides of the triangle are 20 cm , 25 cm , 30 cm

Answer:  65536a^4 b^2

Step-by-step explanation:

Answer: The bedroom is 5 x 5, since that is the only square measure that would make 25 (5x5) ft^2. Assuming no doors, windows, or pinups, the wall area is 120 ft^2

Step-by-step explanation:

4 walls, with no doors or windows, would be 4x (5*6) = 120ft^2

The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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The derivative function is given as

and f(0) = - 1 and f'(0) = 3

To determine the function,

It is also given that f(0) = - 1.

Take the integral and find the function

Then the function is determined as

Hence the function is determined as

Answer: Use a protractor

Step-by-step explanation:

The solution to the given Inequality is a > 12 and the graph is as attached.

We are given the Inequality as;

8a - 30 > 66

Now, use addition property of equality to add 30 to both sides to get;

8a - 30 + 30 > 66 + 30

8a > 96

Now, use division property of equality to divide both sides by 8 to get;

8a/8 > 96/8

a > 12

The graph of this is as attached.

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The calculated expectation of X is 0.1

From the question, we have the following parameters that can be used in our computation:

P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3

The expectation of X is calculated as

E(x) = ∑xp(x)

So, we have

E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3

Evaluate

E(x) = 0.1

Hence, the expectation of X is 0.1

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company a

Step-by-step explanation:

if the work for company b takes more than two days is gonna be more than 1,000 dollars and if he pick company a he would owe 1,000 no matter how many days it takes

Answer:

x=11/4

Step-by-step explanation:

4x+5=8x-6

4

x

=  8

x

−

1

1                <simplify

-8x -8x

-4x=-11                

x=11/4

Answer:

x= 68 degrees

Step-by-step explanation:

Answer:

-7 1/7

Step-by-step explanation:

Hope that helps!

Answer:

The answer is 1.99

Step-by-step explanation:

23.88 divided by 12 =1.99 and There are 12 quarts in 3 gallons.Have a nice day❤

H₀: The mean reported number of good friends is the same across marital statuses. H₁: There is a difference in the mean reported number of good friends among marital statuses.

In the context of the ANOVA table reporting F = 0.80 for comparing the reported number of good friends among different marital statuses (married, widowed, divorced, separated, never married), the null and alternative hypotheses can be specified as follows:

Null Hypothesis (H₀): There is no significant difference in the mean reported number of good friends across the different marital statuses.

Alternative Hypothesis (H₁): There is a significant difference in the mean reported number of good friends across the different marital statuses.

The null hypothesis assumes that any observed differences in the mean reported number of good friends among the marital statuses are due to chance or random variation. On the other hand, the alternative hypothesis suggests that there is a meaningful difference in the mean reported number of good friends among the different marital statuses. The ANOVA F-test is used to evaluate whether the observed variation between groups is statistically significant

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The volume of the canister is 339.1 cubic inches.

The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.

Using the formula, we can calculate the volume of the canister as follows:

V = π×3²×12

V = 108×3.14

V = 339.1 cubic inches

Therefore, the volume of the canister is 339.1 cubic inches.

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Answer:

The rate of change of f(x) with respect to x is 1/4

Step-by-step explanation:

What this question simply ask is to find the slope of the line that passes through the two points

to find this, we use the slope equation

we have this as;

m= (y2-y1)/(x2-x1)

(x1,y1) = ((-15,-3)

(x2,y2) = (-7,-1)

m = (-1 + 3)/(-7 + 15) = 2/8 = 1/4

If "booster-club" sells T-shirts, sweatshirts, and hats, then (c) cost of T-shirt is $20, cost of sweatshirt is $30, and cost of hat is $10.

Let the cost of a T-shirt be x, the cost of a sweatshirt be y, and

The cost of a hat be z. Then we can set up a system of three equations:

2x + 3y + z = 140

3x + y + 2z = 110

x + 2y + 2z = 100

We can solve this system by using substitution-method;

From the first equation, we can solve for z: z = 140 - 2x - 3y

Substitute this expression for z into the other two equations:

We get,

3x + y + 2(140 - 2x - 3y) = 110

x + 2y + 2(140 - 2x - 3y) = 100

Simplify and solve for x and y:

x = 20

y = 30

Substitute these values back into any of the three original equations to solve for z:

We get,

2(20) + 3(30) + z = 140

z = 10

Therefore, the correct option is (c).

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Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)

A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.

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Answer:

I think 6 1/2? srry if wrong

Using Dulac's criterion, it can be concluded that the nonlinear system has no closed orbits in the first quadrant.

We can write the given system as:

x'₁ = α₁x₁ - b₁x²₁ - C₁x₁ x₂

x'₂ = a₂x₂ − b₂x² - C₂x₁ x₂

We have to choose a function g(x₁,x₂) such that the expression ∇·(g(x₁,x₂)F(x₁,x₂)) has a definite sign in the first quadrant.

Here, F(x₁,x₂) is the vector field defined by the system.

Now choose g(x₁,x₂) = x₁ + x₂.

Now compute ∇·(g(x₁,x₂)F(x₁,x₂)), we have:

⇒ ∇·(g(x₁,x₂)F(x₁,x₂)) = ∇·((x₁ + x₂)(α₁x₁ - b₁x²₁ - C₁x₁ x₂, a₂x₂ − b₂x² - C₂x₁ x₂))

                                = (α₁ - b₁x₁ - C₁x₂) + (a₂ - b₂x₂ - C₂x₁)

Now determine the sign of ∇·(g(x₁,x₂)F(x₁,x₂))

In order to apply Dulac's criterion, we need to determine the sign of ∇·(g(x₁,x₂)F(x₁,x₂)) in the first quadrant.

We have two cases:

Case 1: α₁ > 0 and a₂ > 0

In this case, we have:

⇒  ∇·(g(x₁,x₂)F(x₁,x₂)) = (α₁ - b₁x₁ - C₁x₂) + (a₂ - b₂x₂ - C₂x₁ x₂) > 0

Therefore, Dulac's criterion does not apply in this case.

Case 2: α₁ < 0 and a₂ < 0

In this case, we have:

⇒  ∇·(g(x₁,x₂)F(x₁,x₂)) = (α₁ - b₁x₁ - C₁x₂) + (a₂ - b₂x₂ - C₂x₁ x₂) < 0

Therefore, Dulac's criterion does apply in this case.

Since Dulac's criterion applies in the second case, there are no closed orbits in the first quadrant.

Therefore, the nonlinear system described by,
x'₁ = α₁x₁ - b₁x²₁ - C₁x₁ x₂,

x'₂ = a₂x₂ − b₂x² - C₂x₁ x₂ has no closed orbits in the first quadrant.

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The measure of the angle of the triangle is ∠Q = 72.1°

Given data ,

Let the triangle be represented as ΔQRS

Now , the measure of sides of the triangle are

SQ = 75 inches

And , RS = 23 inches

From the trigonometric relations , we get

cos θ = adjacent / hypotenuse

On simplifying , we get

cos Q = 23/75

cos Q = 0.3066667

Taking inverse on both sides , we get

The inverse of the cosine function is Q = cos⁻¹ ( 0.306667 )

Q = 72.14°

Hence , the angle is Q = 72.1°

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Answer: 8 + 49 factored is 57

I hope this helps you

Answer:

57

Step-by-step explanation:

8

+ 49

57

When a predator is referred to as a keystone species, it means that its presence and influence in an ecosystem are crucial for maintaining the balance, stability, and biodiversity of the entire system.

When a predator is considered a keystone species, it means that it plays a crucial role in maintaining the balance and stability of its ecosystem. The presence or absence of this predator has a significant impact on the structure and functioning of the entire ecosystem.

A keystone species exerts a disproportionate influence on the ecosystem compared to its abundance or biomass. Removing or reducing the population of a keystone predator can lead to cascading effects throughout the food web, causing changes in species composition, population dynamics, and overall ecosystem health.

Predators as keystone species often help regulate the populations of their prey species, preventing any one species from dominating the ecosystem. By controlling the abundance and behavior of their prey, they can indirectly impact the distribution and diversity of other organisms, leading to a more balanced and diverse ecosystem.

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Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.

What is the equation straight line?

The given equation Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation of the line is y = 4x+5

So the y-intercept is (x=0)

y = 5

And the x-intercept is (y=0)

4x +5 =0

x = -5/4

Hence, the x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.

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Answer:

13

Step-by-step explanation:

2 squared is 2x2      =4

3 squared is 3x3    =9

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